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Finding the Fourth Proportional to 32,570.78, 48,855.36 and 9,196.88

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Solution

The fourth proportional to 32,570.78, 48,855.36 and 9,196.88 is: 13,795.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,570.78 : 48,855.36 = 9,196.88 : x
  2. Step 2: Convert to fraction form
    32,570.78/48,855.36 = 9,196.88/x
  3. Step 3: Cross multiply
    32,570.78x = 48,855.36 × 9,196.88
  4. Step 4: Simplify right side
    32,570.78x = 449,316,883.28
  5. Step 5: Solve for x
    x = 449,316,883.28/32,570.78
  6. Step 6: Final answer
    x = 13,795.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.